Question

why do two magnetic field lines of force never intersect each other

Answer 1

If magnetic field lines intersect each other then the magnetic field(magnetic field lines) will have two different directions at that point. Thisis not possible. So they don't intersect. ... Because they basically represent thedirection of force acting on a point unit north pole

Answer 2

the Two magnetic field lines can never interest each other because if they intersect at a point then there will two tangents at that point which will show two directions for one point on magnetic field lines which is not possible.